CBSE Questions for Class 9 Maths Triangles Quiz 2 - MCQExams.com

In $$\triangle ABC,$$ $$\angle\,B\,=\,30^{\circ}$$ and $$\angle\,C\,=\,70^{\circ}$$. The greatest side of the triangle is:
  • $$AC$$
  • $$AB$$
  • $$BC$$
  • Incomplete data
State true or false:

In the given figure, the diagonals $$AC$$ and $$BD$$ intersect at point $$O$$ . If $$OB =OD$$ and $$AB//DC$$, then
$$Area \left ( \bigtriangleup \: DOC \right )=Area \left ( \bigtriangleup \: AOB \right )$$.

187405_2c47fa78a66644df82cf66a5f223c81b.jpg
  • True
  • False
In triangle $$ABC, D$$ is any point on side $$BC$$, then: 
$$ AB + BC + AC > 2AD$$
  • True
  • False

In the same figure, if $$y > x  > z;$$ arrange sides $$AB, BC$$ and $$AC $$ in descending order according their lengths.


194713_19377d1fb4a641e880e3211477e81278.png
  • $$BC > AB > AC$$
  • $$AB > BC > AC$$
  • $$BC > AB < AC$$
  • None of these
D is a point on the side BC of a $$\triangle ABC$$ such that AD bisects $$\angle BAC$$. Then
242680_74b56fa9820b470ca4048a60fff5c781.png
  • $$BD=CD$$
  • $$BA>BD$$
  • $$BD>BA$$
  • $$CD>CA$$

If $$AB > AC > BC,$$ arrange the angles $$x, y$$ and $$z$$ in decending order of their values.


194714.png
  • $$y< z < x$$
  • $$x>y>z$$
  • $$z>y>x$$
  • Incomplete question
In $$\Delta ABC$$, if $$\angle A = 50^0$$ and $$\angle B = 60^0$$, then the shortest and largest sides of the triangle, respectively are:
  • $$AC$$ and $$AB$$
  • $$BC$$ and $$AB$$
  • $$AC$$ and $$BC$$
  • $$BC$$ and $$AC$$
In the adjoining figure, $$AB=AC$$ and $$AP\bot BC$$. Then:
241714_b3c8945cfede42c4810a1779181f52fb.png
  • $$AB=AP$$
  • $$AB < AP$$
  • $$AB>AP$$
  • $$AB\le AP$$
Which pair of triangles is not congruent by $$SAS$$ congruence criterion 
  • None of these
If $$AB=QR$$, $$BC=PQ$$ and $$CA=PR$$, then:
242487.png
  • $$\triangle ABC\cong \triangle PQR$$
  • $$\triangle CBA\cong \triangle PQR$$
  • $$\triangle BAC\cong \triangle RPQ$$
  • $$\triangle PQR\cong \triangle BCA$$
State the property by which $$\Delta ADB\, \cong\, \Delta ADC$$ in the following figure.,
267059_258da681a2f64d9892ce351444f35000.png
  • SAS property
  • SSS property
  • RHS property
  • ASA property
In an isosceles traingle ABC, with $$AB=\,AC$$, the bisectors of $$\angle B$$ and $$\angle C$$ intersect each other at the point $$O$$. Join $$A$$ to $$O$$. Then:
  • $$\angle OAB = \angle OAC$$
  • $$OB=\, OC$$
  • $$AO$$ bisects $$\angle A$$
  • None of these
$$AB$$ is a line segment and $$P$$ is its mid-point. $$D$$ and $$E$$ are points on the same side of $$AB$$ such that $$\angle BAD=\angle ABE$$ and $$\angle EPA=\angle DPB$$. Then:

243695_0dc93038152840a7937935b6ec0c59b6.png
  • $$AB = AD$$
  • $$\triangle DAP\cong \triangle EBP$$
  • $$AD=\,BE$$
  • $$\angle DPA = \angle EPB$$
$$l$$ and $$m$$ are two parallel lines intersected by another pair of parallel lines $$p$$ and $$q$$. Then:
243664.png
  • $$\triangle ABC\cong \triangle CDA$$.
  • $$\triangle ABC\cong \triangle ADC$$.
  • $$\triangle ABC\cong \triangle DCA$$.
  • $$\triangle ABC\cong \triangle CAD$$.
If in two triangles $$PQR$$ and $$DEF$$, $$PR=\,EF$$, $$QR=\,DE$$ and $$PQ=\,FD$$, then  $$\triangle PQR\cong$$ $$\triangle$$ ___.
  • $$FDE$$
  • $$DEF$$
  • $$FED$$
  • $$DFE$$
By which congruency property, the two triangles connected by the following figure are congruent.
267009_3080971014a146b4b57e95ef180e1d16.png
  • SAS property
  • SSS property
  • RHS property
  • ASA property
If  $$4$$ cm and $$3$$ cm are the lengths of two sides of a triangle then the length of the third side may be_____.
  • $$11$$ cm
  • $$3$$ cm
  • $$5$$ cm
  • $$12$$ cm
In the given fig. if AD = BC and AD || BC, then:
267088_e939c7d8fbed4b92b71cbe272c58bdc9.png
  • AB = AD
  • AB = DC
  • BC = CD
  • None
ABC is an isosceles triangle in which the altitudes $$BE$$ and $$CF$$ are drawn to the equal sides $$AC$$ and $$AB$$ respectively. Then
245593_2ff3647a85154e409292466b46937894.png
  • $$BE = CF$$
  • $$BE = AB$$
  • $$AB = BC$$
  • $$AC = BC$$
In the following fig. if AB = AC and BD = DC then $$\angle ADC\, =$$
267146_45e35e8e8d394d6794853e7ca8dcf944.png
  • $$60^{\circ}$$
  • $$120^{\circ}$$
  • $$90^{\circ}$$
  • None
In the given figure, $$OA=OB, OC=OD, \angle AOB=\angle COD.$$ Which of the following statements is true$$\: ?$$

283215_0c7d924c2bd6438ebcbdeb6c7ccc77b1.png
  • $$AC=CD$$
  • $$OA=OD$$
  • $$AC=BD$$
  • $$\angle OCA=\angle ODC$$
In a $$\triangle PQR$$, PS is bisector of $$\angle P$$ and $$\angle Q =70^o, \angle R = 30^o$$, then:
  • QS > PQ > PR
  • QS < PQ < PR
  • PQ > QS > SR
  • PQ < QS < SR
Ankita wants to prove $$\Delta ABC\cong \Delta DEF$$ using $$SAS$$. She knows $$AB=DE$$ and $$AC=DF$$. What additional piece of information does she need?
  • $$\;\angle A=\angle D$$
  • $$\;\angle C=\angle F$$
  • $$\;\angle B=\angle E$$
  • $$\;\angle A=\angle B$$
If a $$\triangle PQR$$ is constructed taking $$QR = 5\text{ cm},$$ $$PQ = 3\text{ cm},$$ and $$PR = 4\text{ cm}$$ then the correct order of the angles of the triangle is:
  • $$\angle P < \angle Q < \angle R$$
  • $$\angle P>\angle Q<\angle R$$
  • $$\angle P > \angle Q >\angle R$$
  • $$\angle P < \angle Q>\angle R$$
Which of the following statement is false?
  • The sum of two sides of a $$\Delta$$ is greater than the third side
  • In a right angled $$\Delta$$ hypotenuse is the longest side
  • A, B, C are collinear if AB + BC = AC
  • None of these
Two sides of a triangle are $$7$$ and $$10$$ units, which of the following length can be the length of the third side?
  • $$19$$ units
  • $$17$$ units
  • $$13$$ units
  • $$3$$ units
If a triangle $$PQR$$ has been constructed taking $$QR = 6 $$ cm, $$PQ = 3 $$ cm and $$PR = 4 $$ cm, then the correct order of the angle of triangle is
  • $$\displaystyle \angle P< \angle Q< \angle R $$
  • $$\displaystyle \angle P> \angle Q< \angle R $$
  • $$\displaystyle \angle P> \angle Q> \angle R $$
  • $$\displaystyle \angle P< \angle Q> \angle R $$
In the given figure, $$\triangle RTQ\cong \triangle PSQ$$ by ASA congruency condition. Which of the following pairs does not satisfy the condition?

283204_e30145a26fcb44ea8f774019fe8741a2.png
  • $$PQ=QR$$
  • $$\angle P=\angle R$$
  • $$\angle TQP=\angle SQR$$
  • None of these
In the given figure, $$AD=BC, AC=BD.$$ Then $$\triangle PAB$$ is

283218_49adc0e1a3364322ab8adf77b68b0398.png
  • equilateral
  • right angled
  • scalene
  • isosceles
It is given that $$AB=BC$$ and $$AD=EC.$$ The $$\triangle ABE\cong \triangle  CBD$$ by __________ congruency.

283207.png
  • $$SSS$$
  • $$ASA$$
  • $$SAS$$
  • $$AAS$$
0:0:1


Answered Not Answered Not Visited Correct : 0 Incorrect : 0

Practice Class 9 Maths Quiz Questions and Answers